Scholarly Works, Department of Mathematics
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Research articles, presentations, and other scholarship
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On the Entropy Projection and the Robustness of High Order Entropy Stable Discontinuous Galerkin Schemes for UnderResolved Flows
(Frontiers, 20220701)High order entropy stable schemes provide improved robustness for computational simulations of fluid flows. However, additional stabilization and positivity preserving limiting can still be required for variabledensity ... 
Computationally efficient methods for largescale atmospheric inverse modeling
(Copernicus, 20220720)Atmospheric inverse modeling describes the process of estimating greenhouse gas fluxes or air pollution emissions at the Earth's surface using observations of these gases collected in the atmosphere. The launch of new ... 
Modeling withinhost and aerosol dynamics of SARSCoV2: The relationship with infectiousness
(PLOS, 202208)The relationship between transmission of severe acute respiratory syndrome coronavirus 2 (SARSCoV2) and the amount of virus present in the proximity of a susceptible host is not understood. Here, we developed a withinhost ... 
The relationship between dyslipidemia and inflammation among adults in east coast China: A crosssectional study
(Frontiers, 20220811)ObjectiveDyslipidemia is one of the major public health problems in China. It is characterized by multisystem dysregulation and inflammation, and oxidant/antioxidant balance has been suggested as an important factor for ... 
Identifiability of parameters in mathematical models of SARSCoV2 infections in humans
(Nature Portfolio, 20220827)Determining accurate estimates for the characteristics of the severe acute respiratory syndrome coronavirus 2 in the upper and lower respiratory tracts, by fitting mathematical models to data, is made difficult by the lack ... 
The InfiniteDimensional Standard and Strict Bounded Real Lemmas in Continuous Time: The Storage Function Approach
(Springer, 202209)The bounded real lemma (BRL) is a classical result in systems theory, which provides a linear matrix inequality criterium for dissipativity, via the KalmanYakubovichPopov (KYP) inequality. The BRL has many applications, ... 
Stochastic rectification of fast oscillations on slow manifold closures
(National Academy of Sciences, 20211130)The problems of identifying the slow component (e.g., for weather forecast initialization) and of characterizing slowfast interactions are central to geophysical fluid dynamics. In this study, the related rectification ... 
Collaborative MultiRobot MultiHuman Teams in Search and Rescue
(20220430)Robots such as unmanned aerial vehicles (UAVs) deployed for search and rescue (SAR) can explore areas where human searchers cannot easily go and gather information on scales that can transform SAR strategy. MultiUAV teams ... 
Effect of Topology and Geometric Structure on Collective Motion in the Vicsek Model
(Frontiers, 20220308)In this work, we explore how the emergence of collective motion in a system of particles is influenced by the structure of their domain. Using the Vicsek model to generate flocking, we simulate twodimensional systems that ... 
Dynamics of the streamlake transitional zone affect littoral lake metabolism
(Springer, 202207)Lake ecosystems, as integrators of watershed and climate stressors, are sentinels of change. However, there is an inherent timelag between stressors and wholelake response. Aquatic metabolism, including gross primary ... 
Characterizations of student, instructor, and textbook discourse related to basis and change of basis in quantum mechanics
(20210602)Communities develop social languages in which utterances take on culturally specific situated meanings. As physics students interact in their classroom, they can learn the broader physics community's social language by ... 
Inverse KChevalley formulas for semiinfinite flag manifolds, I: minuscule weights in ADE type
(20210707)We prove an explicit inverse Chevalley formula in the equivariant Ktheory of semiinfinite flag manifolds of simply laced type. By an `inverse Chevalley formula' we mean a formula for the product of an equivariant scalar ... 
NonMarkovian noise that cannot be dynamically decoupled by periodic spin echo pulses
(202108)Dynamical decoupling is the leading technique to remove unwanted interactions in a vast range of quantum systems through fast rotations. But what determines the timescale of such rotations in order to achieve good decoupling? ... 
A Positive Answer on Nirenberg’s Problem on Expansive Mappings in Hilbert Spaces
(Hindawi, 20220317)Nirenberg proposed a problem as to whether or not a continuous and expansive operator T : X⟶X (where X is a Hilbert space) is surjective if R(T)∘ ≠∅. I shall give a positive answer for the problem provided that R(T)∘ is ... 
Evaluating the impact of malleable factors on percent time lecturing in gateway chemistry, mathematics, and physics courses
(20220210)Background Active learning used in science, technology, engineering, and mathematics (STEM) courses has been shown to improve student outcomes. Nevertheless, traditional lectureorientated approaches endure ... 
COVID19 Seroprevalence in Canada Modelling Waning and Boosting COVID19 Immunity in Canada a Canadian Immunization Research Network Study
(MDPI, 20211223)COVID19 seroprevalence changes over time, with infection, vaccination, and waning immunity. Seroprevalence estimates are needed to determine when increased COVID19 vaccination coverage is needed, and when booster doses ... 
Modeling the Influence of Vaccine Administration on COVID19 Testing Strategies
(MDPI, 20211219)Vaccination is considered the best strategy for limiting and eliminating the COVID19 pandemic. The success of this strategy relies on the rate of vaccine deployment and acceptance across the globe. As these efforts are ... 
Requirements for the containment of COVID19 disease outbreaks through periodic testing, isolation, and quarantine
(IOP Publishing, 20220121)We employ individualbased Monte Carlo computer simulations of a stochastic SEIR model variant on a twodimensional Newman–Watts smallworld network to investigate the control of epidemic outbreaks through periodic testing ... 
Continuity: A deterministic Byzantine fault tolerant asynchronous consensus algorithm
(20211109)In 1985, Fischer, Lynch, and Patterson presented the FLP Impossibility Theorem which states that it is impossible for an asynchronous system to reach consensus if at least one node fails; asynchrony prevents distinguishing ... 
Modeling the effects of Aedes aegypti’s larval environment on adult body mass at emergence
(PLoS, 20211122)Mosquitoes vector harmful pathogens that infect millions of people every year, and developing approaches to effectively control mosquitoes is a topic of great interest. However, the success of many control measures is ...